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Finding the Fourth Proportional to 9,208.89, 12,707.68 and 5,432.21

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Solution

The fourth proportional to 9,208.89, 12,707.68 and 5,432.21 is: 7,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.89 : 12,707.68 = 5,432.21 : x
  2. Step 2: Convert to fraction form
    9,208.89/12,707.68 = 5,432.21/x
  3. Step 3: Cross multiply
    9,208.89x = 12,707.68 × 5,432.21
  4. Step 4: Simplify right side
    9,208.89x = 69,030,695.67
  5. Step 5: Solve for x
    x = 69,030,695.67/9,208.89
  6. Step 6: Final answer
    x = 7,496.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.